| Date | Lecture | Notes | Assigned Reading |
|---|---|---|---|
| Week 1 | |||
| 1/27 | Introduction and Basic Definitions | Notes | Section 1.1 | 1/29 | Initial Value Problems, Models | Sections 1.2, 1.3 |
| Week 2 | |||
| 2/3 | First order differential equations | Notes | Section 2.1 | 2/5 | Seperable equations | Section 2.2 |
| Week 3 | |||
| 2/10 | Linear Equations | Section 2.3 | |
| 2/12 | Exact Equations | Notes | Section 2.4 |
| Week 4 | 2/17 | Substitutions | Notes | Section 2.5 |
| 2/19 | Numerical Methods | Section 2.6 | |
| Week 5 | |||
| 2/24 | Linear Models | Section 3.1 | |
| 2/26 | Nonlinear Models and systems of First Order DEs | Section 3.2 and 3.3 | |
| Week 6 | |||
| 3/2 | Midterm | ||
| 3/4 | Nonlinear Models and systems of First Order DEs | Section 3.2 and 3.3 | |
| Week 7 | |||
| 3/9 | Preliminary Theory - Linear Higher Order DEs | Notes | Section 4.1 |
| 3/11 | CANCELLED | ||
| Spring Break | |||
| Week 8 | |||
| 3/23 | Review Linear Equations, Reduction of Order | Section 4.2 | |
| 3/25 | Homogeneous Linear Equations with Constant Coefficients | Section 4.3 | |
| Week 9 | |||
| 3/30 | Undetermined Coefficients - Superposition Approach | Section 4.4 | |
| 4/1 | Variation of Parameters | Notes | Section 4.6 |
| Week 10 | |||
| 4/6 | Cauchy-Euler Equation | Section 4.7 | |
| 4/8 | Systems of Linear DE's by elimination and Nonlinear DEs | Sections 4.9 and 4.10 | |
| Week 11 | |||
| 4/13 | Modeling with Higher-Order DEs | Notes | Section 5.1 |
| 4/15 | Modeling with Higher-Order DEs | Sections 5.2 and 5.3 | |
| Week 12 | |||
| 4/20 | Notes | ||
| 4/22 | Midterm Exam 2 | ||
| Week 13 | |||
| 4/27 | Notes | ||
| 4/29 | Notes | ||
| Week 14 | |||
| 5/4 | |||
| 5/6 | |||
| Week 15 | |||
| 5/11 | |||
| 5/13 | Final Exam | ||